Home
Class 11
PHYSICS
If mus is the coefficient of static fric...

If `mu_s` is the coefficient of static friction, the maximum speed `V_("max")` with which a vehicle can negotiate an unbanked curved track having radius R and inclined at an angle ` theta ` with respect to horizontal plane is

A

`sqrt(Rg tan theta)`

B

`sqrt(mu _s Rg)`

C

`sqrt(Rg)`

D

`sqrt((tan theta)/(Rg))`

Text Solution

Verified by Experts

The correct Answer is:
B
When the vehicle moves over an unbanked circular track, force of friction provides the necessary centripetal force.
` therefore f= ( mv^2) /(R )`
As ` f le mu_s N therefore v^2 le (mu_s RN )/(m)`
` or v^2 le mu_s Rg " " ( :. N=mg)`
` therefore v_(max) = sqrt(mu_s Rg)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The maximum speed with which a vehicle can be safely driven along curved road of radius r, banked at angle theta is

What is the maximum velocity with which a vehicle can negotiate a turn of radius r safely when coefficient of friction between tyres and road is mu ?

A block is at rest on an inclined plane making an angle alpha with the horizontal . As the angle alpha of the incline is increased the block starts slipping when the angle of inclination becomes theta . The coefficient of static friction between the block and the surface of the inclined plane is or A body starts sliding down at an angle theta to the horizontal. Then the coefficient of friction is equal to

Assuming the coefficient of friction between the road and tyres of a car to be 0.5, the maximum speed with which the car can move round a curve of 40.0 m radius without slipping, if the road is unbanked, should be

The maximum speed that can be achieved without skidding by a car on a circular unbanked road of radius R and coefficient of static friction mu , is

The coefficient of static friction between a block of mass m and an incline is mu_s=03 , a. What can be the maximum angle theta of the incline with the horizontal so that the block does not slip on the plane? b. If the incline makes an angle theta/2 with the horizontal, find the frictional force on the block.

The maximum speed (in ms^(-1) ) with which a car driver can traverse on a horizontal unbanked curve of radius 80 m with coefficient of friction 0.5 without skidding is : (g = 10 m/ s^(2) )

Show that a cylinder will slip on an inclined plane if the coefficient of static friction between the plane and the cylinder is less than 1/3tantheta where theta is the angle of the inclination with the horizontal.

The minimum force required to start pushing a body up a rough (frictional coefficient mu ) inclined plane is F_(1) while the minimum force needed to prevent it from sliding down is F_(2) . If the inclined plane makes an angle theta with the horizontal such that tan theta =2mu then the ratio (F_(1))/(F_(2)) is .